CCalclabhub

Startups

How To Calculate Payback Period

Payback period answers the simplest question in capital budgeting: how long until I get my money back? It ignores everything that happens afterwards, which is both its weakness and its appeal.

Quick Answer

payback period = initial investment / annual cash inflow

initial investment
The cash outlay made at the start
annual cash inflow
Net cash the investment generates each year
payback period
Years until cumulative inflow equals the outlay
cash flow multiple
Total inflow over the horizon divided by the outlay

Divide what you spend by the cash the investment brings in each year. Fifty thousand on equipment that returns twelve thousand five hundred a year pays back in four years. Over five years the same investment returns one point two five times the money put in.

What Is Payback Period?

The payback period is the length of time an investment takes to return its own cost. Spend fifty thousand on a machine that generates twelve thousand five hundred a year in cash and the payback period is four years, because at that point the cumulative inflow equals the original outlay.

Its appeal is that it is arithmetic anyone can do and understand. There is no discount rate to argue about, no forecast beyond the payback horizon and no assumption about what happens in year nine. For a small business deciding between two pieces of equipment, that simplicity is a genuine virtue.

The formula for a level stream of cash is a single division. When the annual inflow varies, you accumulate the inflows year by year until the running total passes the initial cost, and the payback period falls somewhere inside that final year. The fractional part is found by dividing the remaining shortfall by that year's inflow.

The big weakness is that everything after the payback date is invisible. An investment that returns its cost in three years and then nothing scores better than one that takes four years but keeps paying for a decade. Payback cannot see that, which is why it is used as a screening tool rather than the final word.

It also ignores the time value of money. A pound received in year one is worth more than a pound received in year five, and payback treats them as identical. The discounted payback period fixes this by discounting each year's inflow before accumulating, at the cost of adding a discount rate to the argument.

Payback is best understood as a measure of risk rather than of return. A short payback period means the money is exposed to uncertainty for a short time, so there is less room for the world to change before you are whole again. In volatile markets that property is worth a great deal.

It is especially useful for businesses that cannot raise capital easily. If funding is scarce, the speed at which money comes back determines how many projects you can fund in sequence. Two projects with a two year payback can be run one after another within four years, while a single four year project ties up the same capital for the whole period.

The companion figure in this calculator is the cash flow multiple over five years: the total inflow across a five year horizon divided by the initial outlay. Fifty thousand invested and sixty two thousand five hundred returned is a multiple of one point two five, meaning the money came back with a quarter of the outlay on top.

Payback should always be read alongside at least one measure that sees the whole life of the project. Net present value and internal rate of return both do that, and where they disagree with payback the disagreement is informative rather than a tie to be broken arbitrarily.

There is a hidden assumption in every payback calculation that the cash flows are net. If the investment also requires ongoing maintenance, extra staffing or additional working capital, those costs belong in the annual inflow figure. Using gross revenue instead of net cash overstates the return and shortens the apparent payback.

Finally, be careful about the horizon you use for the multiple. A five year window is conventional because it is roughly the life of a piece of equipment and comfortably inside most planning cycles, but if the asset will genuinely last fifteen years, saying so with a longer horizon is more honest than implying the story ends at year five.

Formula

payback = initial investment / annual inflow

Works exactly when the annual cash inflow is the same every year. With uneven flows you accumulate year by year instead.

SymbolMeaning
PPayback period
IInitial investment
AAnnual cash inflow

cumulative = annual inflow x years

Accumulating the inflow shows how the investment is recovered over time, and where the crossover with the outlay sits.

SymbolMeaning
CnCumulative inflow
AAnnual cash inflow
nYears elapsed

multiple = total inflow / initial investment

A multiple of one means you got your money back; above one means a profit, and below one a shortfall.

SymbolMeaning
MCash flow multiple
CnCumulative inflow
IInitial investment

How To Calculate Payback Period

  1. 1

    Add up everything the investment costs

    Purchase price, installation, training and any extra working capital it ties up. Fifty thousand is the default outlay.

  2. 2

    Work out the net annual cash inflow

    Revenue the investment generates minus the cash costs of running it. Twelve thousand five hundred a year is the default, and it must be cash rather than accounting profit.

  3. 3

    Divide to get the payback in years

    Fifty thousand divided by twelve thousand five hundred is four years. If the annual inflow varies, accumulate year by year instead and interpolate.

  4. 4

    Multiply by twelve for months

    Four years is forty eight months. Fractional years are easier to compare with the business's own planning cycles when expressed in months.

  5. 5

    Check the horizon, not just the payback

    Over five years the same investment returns sixty two thousand five hundred, which is one point two five times the outlay. A short payback with a poor long-run multiple is still a weak investment.

Examples

Example 1: Equipment that pays for itself in four years

Initial investment
50000
Annual cash inflow
12500
StepCalculationResult
Annual cash inflow1250012500
Cumulative inflow over five years12500 x 562500
Net gain after five years62500 - 5000012500
Payback in years50000 / 125004
Cash returned per unit invested62500 / 500001.25

Result: Fifty thousand spent on equipment returning twelve thousand five hundred a year pays back in 4 years, and over five years it returns 1.25 times the money put in.

Example 2: A larger outlay with a slower return

Initial investment
120000
Annual cash inflow
25000
StepCalculationResult
Annual cash inflow2500025000
Cumulative inflow over five years25000 x 5125000
Net gain after five years125000 - 1200005000
Payback in years120000 / 250004.8

Result: A hundred and twenty thousand pound outlay returning twenty five thousand a year pays back in 4.8 years, leaving only five thousand of net gain across a five year horizon.

Example 3: A quick payback on a small investment

Initial investment
8000
Annual cash inflow
3200
StepCalculationResult
Annual cash inflow32003200
Cumulative inflow over five years3200 x 516000
Net gain after five years16000 - 80008000
Payback in years8000 / 32002.5

Result: A small eight thousand pound investment returning three thousand two hundred a year pays back in 2.5 years and doubles the outlay inside five years.

Calculator

Payback period in years

4

Payback period in months
48
Net gain after five years
$12,500.00
Cash returned per unit invested
1.25

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the Payback Period calculator page.

Common Mistakes

  • Using accounting profit instead of cash

    Payback is about cash coming back through the door. Depreciation, accruals and other non-cash items belong out of the annual inflow figure, or the payback period will be overstated.

  • Forgetting the ongoing costs of the investment

    Maintenance, consumables, training and extra working capital all reduce the net inflow. Counting gross revenue against the purchase price is the most common way to make a poor investment look excellent.

  • Ignoring everything after the payback date

    Payback deliberately blinds you to the tail. An investment that recovers its cost quickly and then generates nothing for a decade is worse than one with a longer payback and a long productive life, and payback alone cannot tell them apart.

  • Treating it as a measure of profitability

    It measures how quickly risk is retired, not how much money is made. A project with a two year payback and a tiny total return beats a project with a five year payback and a huge one on this metric alone, which is usually the wrong conclusion.

  • Assuming cash flows are level when they are not

    The single division only works for an even stream. Where inflows ramp up, or arrive in lumps, accumulating year by year is the only correct approach, and using the shortcut silently misstates the answer.

  • Comparing payback periods across very different asset lives

    A three year payback on an asset that lasts four years is not comparable to a three year payback on an asset that lasts twenty. The horizon has to be matched to the asset before the numbers mean anything side by side.

FAQ

What is a good payback period?

It depends on how risky the cash flows are and how easily the business can raise capital. Many firms use two to three years for equipment and longer for property, but the honest answer is that it should be shorter than the period over which you trust your own forecasts.

Does payback period consider the time value of money?

The simple version does not, which is its main theoretical flaw. The discounted payback period discounts each year's inflow at a chosen rate before accumulating, which lengthens the answer and makes it stricter.

What is the difference between payback period and ROI?

ROI measures how much profit an investment produces relative to its cost. Payback measures how long it takes to get the cost back. A project can have a short payback and a modest ROI, or a long payback and a large one.

How do I handle uneven cash flows?

Accumulate the inflows year by year until the running total passes the initial outlay. The payback period falls inside that final year, and the fraction is the remaining shortfall divided by that year's inflow.

Why is payback popular if it has so many flaws?

Because it is quick, needs almost no assumptions and speaks directly to risk. When capital is scarce or the future is uncertain, knowing that money returns quickly is genuinely valuable information, even though it is incomplete.

Should I use payback or net present value?

Use both. Payback screens for speed of recovery and risk, while net present value captures the whole life of the project and accounts for the time value of money. Where the two disagree, that disagreement is the most useful thing you learn.

References

  1. [1]Wikipedia, Payback period — https://en.wikipedia.org/wiki/Payback_period
  2. [2]Wikipedia, Capital budgeting — https://en.wikipedia.org/wiki/Capital_budgeting
  3. [3]Wikipedia, Net present value — https://en.wikipedia.org/wiki/Net_present_value
  4. [4]Wikipedia, Time value of money — https://en.wikipedia.org/wiki/Time_value_of_money